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With or Without U? - The appropriate test for a U shaped relationship

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Author Info
Lind, Jo Thori
Mehlum, Halvor

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Abstract

Non-linear relationships are common in economic theory, and such relationships are also frequently tested empirically. We argue that the usual test of non-linear relationships is flawed, and derive the appropriate test for a U shaped relationship. Our test gives the exact necessary and sufficient conditions for the test of a U shape in both finite samples and for a large class of models.

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File URL: http://mpra.ub.uni-muenchen.de/4823/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 4823.

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Date of creation: 10 Sep 2007
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Handle: RePEc:pra:mprapa:4823

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Related research
Keywords: U shape hypothesis test Kuznets curve Fieller interval

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Selden Thomas M. & Song Daqing, 1994. "Environmental Quality and Development: Is There a Kuznets Curve for Air Pollution Emissions?," Journal of Environmental Economics and Management, Elsevier, vol. 27(2), pages 147-162, September. [Downloadable!] (restricted)
  2. Jean Imbs & Romain Wacziarg, 2003. "Stages of Diversification," American Economic Review, American Economic Association, vol. 93(1), pages 63-86, March. [Downloadable!] (restricted)
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  3. Chambers, Dustin, 2007. "Trading places: Does past growth impact inequality?," Journal of Development Economics, Elsevier, vol. 82(1), pages 257-266, January. [Downloadable!] (restricted)
  4. Grossman, Gene M & Krueger, Alan B, 1995. "Economic Growth and the Environment," The Quarterly Journal of Economics, MIT Press, vol. 110(2), pages 353-77, May. [Downloadable!] (restricted)
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